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The capacity of the larger container is 270 gallons.

The smallest possible degree is 1, and the largest possible degree is 7, so the answer is 1*7 = 7.

which ones can you eliminate?  Why?

\(x=\sqrt{12 + \sqrt{12 + \sqrt{12 + \dotsb}}}\\ x=\sqrt{12+x}\)

etc

Solve it using matrices.

Shouldn't be too hard

Here is one of many videos available that teaches this.

\(x = \frac{1}{3-\frac{1}{3-\frac{1}{3-\ldots}}}\\~\\ x=\frac{1}{3-x}\)

Now you can solve it.

Your question makes no sense to me.

You say that theta has the terminal point of P

then you say  P is the terminal point of  acos(sin(theta))

It can't be both.

Yes it is :)

Nice, but I think there is something wrong with the colours. 

60 will result in 3 terms. 

120 will result in 2 terms.

=^._.^=

Thanks Logarythm

Matrices are cool for working out systems of equations:

OK Thank you for the confermation

NVM Thank you soo much melody I understand it now and the answer is 1

How did you find that

Answer #1 is a lie, the actual answer is QRSP for anyone interested.

c - a = 18.

The answer is 18.

The answer is R, S, P, Q.

Rewrite  (14x + 22) / (x + 2)  =  -3x + 7

as            24x + 22  =  (-3x + 7)(x + 2)

1)  Multiply out the right side.

2)  Take all terms to the left side, forming a quadratic.

3)  Use the quadratic formula to solve the equation.

4)  Add together the two solutions, noting that the radicals cancel.

\(1,000,000\cdot 2=2,000,000\)

It would take \(2,000,000\) seconds, or \(33,333\) minutes and \(20\) seconds, or \(555\) hours and \(33\) minutes, or \(23\) days and \(3\) hours

1,000,000 x 2  =  2,000,000 seconds

log₃(x - 1)  =  -1     --->     x - 1  = 3^-1     --->     x - 1  =  1/3     --->   x  =  1 1/3

Hello Guest,

If 3a + b + c = -3, a + 3b + c = 9, a + b + 3c = -19, then find abc.

\(3a+b+c=-3 \mbox { } (1)\)

\(a+3b+c=9 \mbox { } (2)\)

\(a+b+3c=-19 \mbox { } (3)\)

\((a, \mbox { } b, \mbox { } c) = (-\frac{1}{5}, \mbox { } \frac{29}{5}, \mbox { } -\frac{41}{5})\)

Now multiply them.

Hope that was helpful.^^

Straight

when I use "(i), (ii), (iii)" I'm just labeling the equations

   (i) x + y - z = -8
  (ii) x - y + z = 18
(iii) -x + y + z = 30

   (i) x + y - z = -8

  (ii) x - y + z = 18

      -------------------

                2x = 10

                  x = 5

    (ii) x - y + z = 18

  (iii) -x + y + z = 30

       --------------------

                   2z = 48

                     z = 24

        i) x + y - z = -8

    (5) + y - (24) = -8
               y - 19 = -8

                      y = 11

therefore xyz = 5 * 11 * 24

                      = 1320

Hello Guest,

Write down three numbers. The first number is 16. Each of the next numbers is half the number.

16, 8, 4 is the answer.

Hope that was helpful.^^

Straight

DEFINTION OF PRIME NUMBER:

In math, prime numbers are whole numbers greater than 1, that have only two factors – 1 and the number itself.